Quantum Group Symmetry and Quantum Hall Wavefunctions on a Torus

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, OS-GE-39-93

Scientific paper

We find a quantum group structure in two-dimensional motion of nonrelativistic electrons in a uniform magnetic field on a torus. The representation basis of the quantum algebra is composed of the quantum Hall wavefunctions proposed by Haldane-Rezayi at the Landau-level filling factor $\nu=1/m$ ($m$ odd). It is also shown that the quantum group symmetry is relevant to the degenerate Landau states and the deformation parameter of the quantum algebra is given by the filling factor.

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